Answer:
Base=3x-1
height =x
As we know that in a triangle
<h3>Correct option is option D</h3>
Answer:
85 nails
Step-by-step explanation:
First, we need to calculate the volume of a single nail. It consists of a circular cylinder and hemispherical part.
The volume of the cylinder πr^2 • h. We are given the diameter of the cylinder (14 mm), so radius is half of that (r = 7 mm) and we are given the height (h = 20 mm).
So, the volume of the cylinder is:
V1 = π • 7^2 • 20
V1 = 3077.2 mm^3
Now for the volume of the hemisphere part. Its volume is half of the sphere:
V2 = (4/3 • πr^3) / 2
Diameter of the sphere is given and it is 21 mm, so the radius is 10.5 mm. So, the volume is:
V2 = (4/3 • π • 10.5^3) / 2
V2 = 2423.3 mm^3
So, the volume of the nail is V1 + V2 which is 5500.5 mm^3
Now let's convert volume of the metal used for making nails. It's given that it is 550.55 cm^3 which is 550550 mm^3.
It is also said that 15% of the volume is wasted, so we are left with 85% of the volume, which is 550550 • 0.85 and that equals to 467967.5 mm^3. So to find a number of nails made from this volume, we divide:
467967.5 / 5500.5 = 85 nails
A is describing either a rectangle, rhombus, or square, so that's not it. B is the same, C is also a possible rhombus, and so D is the correct answer as a square.
21. if Sam's erasers are represented by x, then sari, who has three times more, would be represented by 3x. since you are adding two together to get 28, the equation would be 28=3x+x. Simplify to 28=4x, divide by 4 to isolate x, where x=7. multiply this by 3 to get sari's amount.
Answer:
48000
Step-by-step explanation:
12000 students
4%
1 =annually
12×4×1= 48000
